Point-to-point connectivity prediction in porous media using percolation theory

Tavagh-Mohammadi, Behnam; Masihi, Mohsen; Ganjeh-Ghazvini, Mostafa

doi:10.1016/j.physa.2016.05.011

Cited by 12 publications

(2 citation statements)

References 17 publications

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“…The classical percolation theory, the theory of classical particle characteristics intermingling with any random medium for providing an understandable scenario showcasing critical behavior was first proposed in the physics domain by Shante and Kirkpatrick in 1971. 58 It has been recently reported for use in understanding the mechanics of tablet formation via compression and compaction of drug-based powders, 59 connectivity prediction in porous media, [60][61] understand the effects of qubit losses in topological color codes. 62 The equation based on classical percolation theory in the logarithmic form is represented as given in equation 11.…”

Section: Classical Percolation Theorymentioning

confidence: 99%

Predicting Percolation Threshold Value of EMI SE for Conducting Polymer Composite Systems Through Different Sigmoidal Models

Rahaman

Gupta²,

Hossain

et al. 2022

J. Electron. Mater.

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Like electrical conductivity, the electromagnetic interference shielding effectiveness (EMI SE) of carbon-containing polymeric composites also goes through a transition phase known as the percolation threshold (PT). In this study, the applicability of various sigmoidal models such as Sigmoidal-Boltzmann (SB), Sigmoidal-Dose Response (SD), Sigmoidal-Hill (SH), Sigmoidal-Logistic (SL), and Sigmoidal-Logistic-1 (SL-1) to determine the PT of EMI SE has been tested for composites of ethylene vinyl acetate (EVA) copolymer and acrylonitrile butadiene rubber (NBR) matrix reinforced with various particulate and fibrous carbon fillers.It is observed that the SB and SD models predicted similar PT. On the other hand, other models reported different values when validated for any particular composite system. The difference in results of PT has been discussed in detail from a viewpoint of the benefits and vice versa of these models. Also, the classical percolation theory has been applied to determine the PT of EMI SE for comparison with the values obtained through the sigmoidal models. In order to judge the universal acceptability of these models, the EMI SE results have been tested for various polymeric composites taken from some published literature. The results indicate that all the models except the SL-1 model can be successfully applied for predicting the PT of EMI SE for polymer composites.

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Section: Classical Percolation Theorymentioning

confidence: 99%

Predicting Percolation Threshold Value of EMI SE for Conducting Polymer Composite Systems Through Different Sigmoidal Models

Rahaman

Gupta²,

Hossain

et al. 2022

J. Electron. Mater.

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show abstract

“…In this case, we say that percolation has occurred. There are several variations of these models in the literature with applications in different areas of science, in [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17] there are some examples.…”

Section: Introductionmentioning

confidence: 99%

On the monotonicity of the critical time in the Constrained-degree percolation model

Amaral,

Atman,

de Lima

2020

Preprint

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The Constrained-degree percolation model was introduced in [B.N.B. de Lima, R. Sanchis, D.C. dos Santos, V. Sidoravicius, and R. Teodoro, Stoch. Process. Appl. ( 2020)], where it was proven that this model has a non-trivial phase transition on a square lattice. We study the Constrained-degree percolation model on the d-dimensional hypercubic lattice (Z d ) and, via numerical simulations, found evidence that the critical time t d c (k) is monotonous not increasing in the constrained k if d = 3, 4, like it is when d = 2. We verify that the lowest constrained value k such that the system exhibits a phase transition is k = 3 and that the correlation critical exponent ν for the Constrained-degree percolation model and ordinary Bernoulli percolation are the same.

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Analysis of a more realistic well representation during secondary recovery in 3-D continuum models

Sadeghnejad

Masihi

2017

Comput Geosci

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Point-to-point connectivity prediction in porous media using percolation theory

Cited by 12 publications

References 17 publications

Predicting Percolation Threshold Value of EMI SE for Conducting Polymer Composite Systems Through Different Sigmoidal Models

Predicting Percolation Threshold Value of EMI SE for Conducting Polymer Composite Systems Through Different Sigmoidal Models

On the monotonicity of the critical time in the Constrained-degree percolation model

Analysis of a more realistic well representation during secondary recovery in 3-D continuum models

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